Controlled motion system having an improved track configuration

A transport system comprising linear motor modules utilized both straight and curved track modules, with movers displaced on the track modules by control of power applied to coils of the modules. Curved track modules have modified spline geometries to provide desired acceleration and jerk characteristics. The modified spline geometries may be defined by more than one generators, such as an equation generator and a spline fit between the equation-generated segment and one or more constrained points or locations. The curved track modules may be divided into 180 degree modules, or may be reduced to 90 degree, 45 degree or other fractional arcs to provide for modular assembly, mirror-image geometries and motion profiles, and the like. The system may be adapted to provide improved motion characteristics based on modification of a conventional spline geometry.